Add 35/14 and 40/9
1st number: 2 7/14, 2nd number: 4 4/9
35/14 + 40/9 is 125/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
40/9 = 40 × 14/9 × 14 = 560/126 - Add the two like fractions:
315/126 + 560/126 = 315 + 560/126 = 875/126 - 875/126 simplified gives 125/18
- So, 35/14 + 40/9 = 125/18
In mixed form: 617/18
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